A 2nd-Order FDM for a 2D Fractional Black-Scholes Equation

DOI10.1007/978-3-319-57099-0_5zbMath1367.91191OpenAlexW2606320733MaRDI QIDQ5274927

Wen Chen, Songgui Wang

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_5

Mathematics Subject Classification ID

Numerical methods (including Monte Carlo methods) (91G60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Derivative securities (option pricing, hedging, etc.) (91G20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Fractional partial differential equations (35R11)

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Cites Work

• A penalty method for a fractional order parabolic variational inequality governing American put option valuation
• Pricing American options under proportional transaction costs using a penalty approach and a finite difference scheme
• Pricing American bond options using a penalty method
• A second-order accurate numerical method for the two-dimensional fractional diffusion equation
• Penalty approach to a nonlinear obstacle problem governing American put option valuation under transaction costs
• Penalty approach to the HJB equation arising in European stock option pricing with proportional transaction costs
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Numerical methods for the solution of partial differential equations of fractional order.
• An interior penalty method for a finite-dimensional linear complementarity problem in financial engineering
• Numerical solution of time-fractional Black-Scholes equation
• Finite element method for hemivariational inequalities. Theory, methods and applications
• Power penalty method for a linear complementarity problem arising from American option valuation
• An upwind finite difference method for a nonlinear Black-Scholes equation governing European option valuation under transaction costs
• A finite difference method for pricing European and American options under a geometric Lévy process
• Finite difference methods for two-dimensional fractional dispersion equation
• A superconvergent fitted finite volume method for <scp>B</scp>lack–<scp>S</scp>choles equations governing <scp>E</scp>uropean and <scp>A</scp>merican option valuation
• A novel fitted finite volume method for the Black-Scholes equation governing option pricing
• Financial Modelling with Jump Processes
• Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
• A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
• Variational formulation for the stationary fractional advection dispersion equation
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